Pith Number

pith:SLLVXIEB

pith:2012:SLLVXIEBV4NLUIN4HY7EM3MLGJ

not attested not anchored not stored refs pending

Monads for framed sheaves on Hirzebruch surfaces

Claudio Bartocci, Claudio L. S. Rava, Ugo Bruzzo

arxiv:1205.3613 v5 · 2012-05-16 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLLVXIEBV4NLUIN4HY7EM3MLGJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:24:31.026535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d75ba081af1aba21bc3e3e466d8b326cd412295ab7d3fa6981cbb1a3e452b9

Aliases

arxiv: 1205.3613 · arxiv_version: 1205.3613v5 · doi: 10.48550/arxiv.1205.3613 · pith_short_12: SLLVXIEBV4NL · pith_short_16: SLLVXIEBV4NLUIN4 · pith_short_8: SLLVXIEB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SLLVXIEBV4NLUIN4HY7EM3MLGJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 92d75ba081af1aba21bc3e3e466d8b326cd412295ab7d3fa6981cbb1a3e452b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08f5786f6658fa8e8f0fd702e9a1528af5bd0c1704d7445fac78d8fe0a0c927",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-16T09:40:28Z",
    "title_canon_sha256": "0428596fa1de1854c4c4cbae5ac09afad835421dd03a603ea5cbc4ae6ee95d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3613",
    "kind": "arxiv",
    "version": 5
  }
}